[{"type":"book_chapter","publication":"The Digital Twin of Humans","status":"public","_id":"45190","user_id":"15540","department":[{"_id":"542"}],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"isbn":["9783031261039","9783031261046"]},"place":"Cham","year":"2023","citation":{"mla":"Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks.” <i>The Digital Twin of Humans</i>, Springer International Publishing, 2023, pp. 93--110, doi:<a href=\"https://doi.org/10.1007/978-3-031-26104-6_5\">10.1007/978-3-031-26104-6_5</a>.","bibtex":"@inbook{Cappello_Steffen_2023, place={Cham}, title={Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-26104-6_5\">10.1007/978-3-031-26104-6_5</a>}, booktitle={The Digital Twin of Humans}, publisher={Springer International Publishing}, author={Cappello, Chiara and Steffen, Eckhard}, year={2023}, pages={93--110} }","short":"C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International Publishing, Cham, 2023, pp. 93--110.","apa":"Cappello, C., &#38; Steffen, E. (2023). Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks. In <i>The Digital Twin of Humans</i> (pp. 93--110). Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-26104-6_5\">https://doi.org/10.1007/978-3-031-26104-6_5</a>","ama":"Cappello C, Steffen E. Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks. In: <i>The Digital Twin of Humans</i>. Springer International Publishing; 2023:93--110. doi:<a href=\"https://doi.org/10.1007/978-3-031-26104-6_5\">10.1007/978-3-031-26104-6_5</a>","ieee":"C. Cappello and E. Steffen, “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks,” in <i>The Digital Twin of Humans</i>, Cham: Springer International Publishing, 2023, pp. 93--110.","chicago":"Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks.” In <i>The Digital Twin of Humans</i>, 93--110. Cham: Springer International Publishing, 2023. <a href=\"https://doi.org/10.1007/978-3-031-26104-6_5\">https://doi.org/10.1007/978-3-031-26104-6_5</a>."},"page":"93--110","publisher":"Springer International Publishing","date_updated":"2024-02-16T07:42:38Z","date_created":"2023-05-22T10:22:21Z","author":[{"full_name":"Cappello, Chiara","id":"72874","last_name":"Cappello","first_name":"Chiara"},{"first_name":"Eckhard","orcid":"0000-0002-9808-7401","last_name":"Steffen","full_name":"Steffen, Eckhard","id":"15548"}],"title":"Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks","doi":"10.1007/978-3-031-26104-6_5"},{"article_number":"113457","keyword":["Discrete Mathematics and Combinatorics","Theoretical Computer Science"],"language":[{"iso":"eng"}],"_id":"51357","user_id":"15540","department":[{"_id":"542"}],"status":"public","type":"journal_article","publication":"Discrete Mathematics","title":"Rotation r-graphs","doi":"10.1016/j.disc.2023.113457","publisher":"Elsevier BV","date_updated":"2024-02-16T08:45:10Z","author":[{"id":"15548","full_name":"Steffen, Eckhard","last_name":"Steffen","orcid":"0000-0002-9808-7401","first_name":"Eckhard"},{"first_name":"Isaak Hieronymus","full_name":"Wolf, Isaak Hieronymus","id":"88145","last_name":"Wolf"}],"date_created":"2024-02-16T08:44:50Z","year":"2023","citation":{"chicago":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” <i>Discrete Mathematics</i>, 2023. <a href=\"https://doi.org/10.1016/j.disc.2023.113457\">https://doi.org/10.1016/j.disc.2023.113457</a>.","ieee":"E. Steffen and I. H. Wolf, “Rotation r-graphs,” <i>Discrete Mathematics</i>, Art. no. 113457, 2023, doi: <a href=\"https://doi.org/10.1016/j.disc.2023.113457\">10.1016/j.disc.2023.113457</a>.","ama":"Steffen E, Wolf IH. Rotation r-graphs. <i>Discrete Mathematics</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1016/j.disc.2023.113457\">10.1016/j.disc.2023.113457</a>","mla":"Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” <i>Discrete Mathematics</i>, 113457, Elsevier BV, 2023, doi:<a href=\"https://doi.org/10.1016/j.disc.2023.113457\">10.1016/j.disc.2023.113457</a>.","bibtex":"@article{Steffen_Wolf_2023, title={Rotation r-graphs}, DOI={<a href=\"https://doi.org/10.1016/j.disc.2023.113457\">10.1016/j.disc.2023.113457</a>}, number={113457}, journal={Discrete Mathematics}, publisher={Elsevier BV}, author={Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023} }","short":"E. Steffen, I.H. Wolf, Discrete Mathematics (2023).","apa":"Steffen, E., &#38; Wolf, I. H. (2023). Rotation r-graphs. <i>Discrete Mathematics</i>, Article 113457. <a href=\"https://doi.org/10.1016/j.disc.2023.113457\">https://doi.org/10.1016/j.disc.2023.113457</a>"},"publication_status":"published","publication_identifier":{"issn":["0012-365X"]}},{"department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"user_id":"49063","_id":"31210","type":"journal_article","status":"public","volume":10,"author":[{"first_name":"Christian","last_name":"Arends","full_name":"Arends, Christian","id":"43994"},{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"}],"date_updated":"2024-02-19T06:30:26Z","doi":"10.5802/jep.220","publication_identifier":{"eissn":["2270-518X"],"issn":["2429-7100"]},"publication_status":"published","intvolume":"        10","page":"335-403","citation":{"ieee":"C. Arends and J. Hilgert, “Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters,” <i>Journal de l’École polytechnique — Mathématiques</i>, vol. 10, pp. 335–403, 2023, doi: <a href=\"https://doi.org/10.5802/jep.220\">10.5802/jep.220</a>.","chicago":"Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” <i>Journal de l’École Polytechnique — Mathématiques</i> 10 (2023): 335–403. <a href=\"https://doi.org/10.5802/jep.220\">https://doi.org/10.5802/jep.220</a>.","ama":"Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. <i>Journal de l’École polytechnique — Mathématiques</i>. 2023;10:335-403. doi:<a href=\"https://doi.org/10.5802/jep.220\">10.5802/jep.220</a>","apa":"Arends, C., &#38; Hilgert, J. (2023). Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters. <i>Journal de l’École Polytechnique — Mathématiques</i>, <i>10</i>, 335–403. <a href=\"https://doi.org/10.5802/jep.220\">https://doi.org/10.5802/jep.220</a>","bibtex":"@article{Arends_Hilgert_2023, title={Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters}, volume={10}, DOI={<a href=\"https://doi.org/10.5802/jep.220\">10.5802/jep.220</a>}, journal={Journal de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert, Joachim}, year={2023}, pages={335–403} }","short":"C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10 (2023) 335–403.","mla":"Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” <i>Journal de l’École Polytechnique — Mathématiques</i>, vol. 10, 2023, pp. 335–403, doi:<a href=\"https://doi.org/10.5802/jep.220\">10.5802/jep.220</a>."},"external_id":{"arxiv":["2112.11073"]},"language":[{"iso":"eng"}],"keyword":["Ruelle resonances","Poisson transforms","locally symmetric spaces","principal series representations"],"publication":"Journal de l’École polytechnique — Mathématiques","abstract":[{"text":"In this paper we complete the program of relating the Laplace spectrum for\r\nrank one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset of exceptional spectral parameters always left untreated since the\r\ncorresponding Poisson transforms are neither injective nor surjective. We use\r\nvector valued Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces the exceptional spectral parameters lead to discrete\r\nseries representations of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more complicated, but can be described completely.","lang":"eng"}],"date_created":"2022-05-11T12:27:00Z","title":"Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters","year":"2023"},{"_id":"46578","external_id":{"arxiv":["2308.01113"]},"user_id":"47427","department":[{"_id":"655"},{"_id":"101"}],"language":[{"iso":"eng"}],"type":"preprint","publication":"arXiv:2308.01113","abstract":[{"text":"Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to compute the set of optimal compromises (the Pareto set) between the conflicting objectives. The advances in algorithms and the increasing interest in Pareto-optimal solutions have led to a wide range of new applications related to optimal and feedback control - potentially with non-smoothness both on the level of the objectives or in the system dynamics. This results in new challenges such as dealing with expensive models (e.g., governed by partial differential equations (PDEs)) and developing dedicated algorithms handling the non-smoothness. Since in contrast to single-objective optimization, the Pareto set generally consists of an infinite number of solutions, the computational effort can quickly become challenging, which is particularly problematic when the objectives are costly to evaluate or when a solution has to be presented very quickly. This article gives an overview of recent developments in the field of multiobjective optimization of non-smooth PDE-constrained problems. In particular we report on the advances achieved within Project 2 \"Multiobjective Optimization of Non-Smooth PDE-Constrained Problems - Switches, State Constraints and Model Order Reduction\" of the DFG Priority Programm 1962 \"Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization\".","lang":"eng"}],"status":"public","oa":"1","date_updated":"2024-02-21T12:22:20Z","date_created":"2023-08-21T05:50:12Z","author":[{"first_name":"Marco","full_name":"Bernreuther, Marco","last_name":"Bernreuther"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"id":"32643","full_name":"Gebken, Bennet","last_name":"Gebken","first_name":"Bennet"},{"first_name":"Georg","full_name":"Müller, Georg","last_name":"Müller"},{"id":"47427","full_name":"Peitz, Sebastian","last_name":"Peitz","orcid":"0000-0002-3389-793X","first_name":"Sebastian"},{"id":"56399","full_name":"Sonntag, Konstantin","orcid":"https://orcid.org/0000-0003-3384-3496","last_name":"Sonntag","first_name":"Konstantin"},{"first_name":"Stefan","full_name":"Volkwein, Stefan","last_name":"Volkwein"}],"title":"Multiobjective Optimization of Non-Smooth PDE-Constrained Problems","main_file_link":[{"url":"https://arxiv.org/pdf/2308.01113","open_access":"1"}],"year":"2023","citation":{"chicago":"Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” <i>ArXiv:2308.01113</i>, 2023.","ieee":"M. Bernreuther <i>et al.</i>, “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” <i>arXiv:2308.01113</i>. 2023.","ama":"Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. <i>arXiv:230801113</i>. Published online 2023.","apa":"Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag, K., &#38; Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In <i>arXiv:2308.01113</i>.","short":"M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023).","mla":"Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” <i>ArXiv:2308.01113</i>, 2023.","bibtex":"@article{Bernreuther_Dellnitz_Gebken_Müller_Peitz_Sonntag_Volkwein_2023, title={Multiobjective Optimization of Non-Smooth PDE-Constrained Problems}, journal={arXiv:2308.01113}, author={Bernreuther, Marco and Dellnitz, Michael and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Sonntag, Konstantin and Volkwein, Stefan}, year={2023} }"}},{"page":"186–232","intvolume":"       343","citation":{"ama":"Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>Journal of Differential Equations</i>. 2023;343:186–232. doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>","ieee":"H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” <i>Journal of Differential Equations</i>, vol. 343, pp. 186–232, 2023, doi: <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>.","chicago":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i> 343 (2023): 186–232. <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">https://doi.org/10.1016/j.jde.2022.10.001</a>.","apa":"Glöckner, H., &#38; Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>Journal of Differential Equations</i>, <i>343</i>, 186–232. <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">https://doi.org/10.1016/j.jde.2022.10.001</a>","mla":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i>, vol. 343, 2023, pp. 186–232, doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>.","bibtex":"@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }","short":"H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232."},"publication_identifier":{"issn":["0022-0396"]},"doi":"10.1016/j.jde.2022.10.001","volume":343,"author":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"},{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"}],"date_updated":"2024-03-22T16:02:32Z","status":"public","type":"journal_article","article_type":"original","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"},{"_id":"91"}],"user_id":"178","_id":"34793","year":"2023","quality_controlled":"1","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","date_created":"2022-12-21T19:31:13Z","publication":"Journal of Differential Equations","language":[{"iso":"eng"}],"keyword":["22E65","28B05","34A12","34H05","46E30","46E40"],"external_id":{"arxiv":["2007.11277"]}},{"quality_controlled":"1","publication_identifier":{"isbn":["9783031261039","9783031261046"]},"publication_status":"published","place":"Cham","year":"2023","citation":{"chicago":"Gräßler, Iris, Günter W. Maier, Eckhard Steffen, and Daniel Roesmann, eds. <i>The Digital Twin of Humans</i>. Cham: Springer International Publishing, 2023. <a href=\"https://doi.org/10.1007/978-3-031-26104-6\">https://doi.org/10.1007/978-3-031-26104-6</a>.","ieee":"I. Gräßler, G. W. Maier, E. Steffen, and D. Roesmann, Eds., <i>The Digital Twin of Humans</i>. Cham: Springer International Publishing, 2023.","ama":"Gräßler I, Maier GW, Steffen E, Roesmann D, eds. <i>The Digital Twin of Humans</i>. Springer International Publishing; 2023. doi:<a href=\"https://doi.org/10.1007/978-3-031-26104-6\">10.1007/978-3-031-26104-6</a>","apa":"Gräßler, I., Maier, G. W., Steffen, E., &#38; Roesmann, D. (Eds.). (2023). <i>The Digital Twin of Humans</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-26104-6\">https://doi.org/10.1007/978-3-031-26104-6</a>","bibtex":"@book{Gräßler_Maier_Steffen_Roesmann_2023, place={Cham}, title={The Digital Twin of Humans}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-26104-6\">10.1007/978-3-031-26104-6</a>}, publisher={Springer International Publishing}, year={2023} }","short":"I. Gräßler, G.W. Maier, E. Steffen, D. Roesmann, eds., The Digital Twin of Humans, Springer International Publishing, Cham, 2023.","mla":"Gräßler, Iris, et al., editors. <i>The Digital Twin of Humans</i>. Springer International Publishing, 2023, doi:<a href=\"https://doi.org/10.1007/978-3-031-26104-6\">10.1007/978-3-031-26104-6</a>."},"publisher":"Springer International Publishing","date_updated":"2024-03-25T09:07:55Z","date_created":"2023-05-22T10:24:10Z","title":"The Digital Twin of Humans","doi":"10.1007/978-3-031-26104-6","type":"book_editor","editor":[{"first_name":"Iris","orcid":"0000-0001-5765-971X","last_name":"Gräßler","id":"47565","full_name":"Gräßler, Iris"},{"first_name":"Günter W.","last_name":"Maier","full_name":"Maier, Günter W."},{"full_name":"Steffen, Eckhard","id":"15548","orcid":"0000-0002-9808-7401","last_name":"Steffen","first_name":"Eckhard"},{"last_name":"Roesmann","id":"54680","full_name":"Roesmann, Daniel","first_name":"Daniel"}],"status":"public","_id":"45191","department":[{"_id":"542"},{"_id":"152"}],"user_id":"5905","language":[{"iso":"eng"}],"alternative_title":["An Interdisciplinary Concept of Digital Working Environments in Industry 4.0"]},{"year":"2023","page":"1-26","citation":{"ama":"Gilbert H, Schürmann M, Liebendörfer M, Lawson D, Hodds M. Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &#38;amp; Ireland. <i>International Journal of Mathematical Education in Science and Technology</i>. Published online 2023:1-26. doi:<a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">10.1080/0020739x.2023.2184282</a>","ieee":"H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds, “Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &#38;amp; Ireland,” <i>International Journal of Mathematical Education in Science and Technology</i>, pp. 1–26, 2023, doi: <a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">10.1080/0020739x.2023.2184282</a>.","chicago":"Gilbert, H., M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain &#38;amp; Ireland.” <i>International Journal of Mathematical Education in Science and Technology</i>, 2023, 1–26. <a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">https://doi.org/10.1080/0020739x.2023.2184282</a>.","apa":"Gilbert, H., Schürmann, M., Liebendörfer, M., Lawson, D., &#38; Hodds, M. (2023). Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &#38;amp; Ireland. <i>International Journal of Mathematical Education in Science and Technology</i>, 1–26. <a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">https://doi.org/10.1080/0020739x.2023.2184282</a>","short":"H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International Journal of Mathematical Education in Science and Technology (2023) 1–26.","bibtex":"@article{Gilbert_Schürmann_Liebendörfer_Lawson_Hodds_2023, title={Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &#38;amp; Ireland}, DOI={<a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">10.1080/0020739x.2023.2184282</a>}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Gilbert, H. and Schürmann, M. and Liebendörfer, M. and Lawson, D. and Hodds, M.}, year={2023}, pages={1–26} }","mla":"Gilbert, H., et al. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain &#38;amp; Ireland.” <i>International Journal of Mathematical Education in Science and Technology</i>, Informa UK Limited, 2023, pp. 1–26, doi:<a href=\"https://doi.org/10.1080/0020739x.2023.2184282\">10.1080/0020739x.2023.2184282</a>."},"publication_identifier":{"issn":["0020-739X","1464-5211"]},"publication_status":"published","title":"Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain &amp; Ireland","doi":"10.1080/0020739x.2023.2184282","date_updated":"2024-03-25T10:09:21Z","publisher":"Informa UK Limited","author":[{"first_name":"H.","last_name":"Gilbert","full_name":"Gilbert, H."},{"first_name":"M.","full_name":"Schürmann, M.","last_name":"Schürmann"},{"full_name":"Liebendörfer, M.","last_name":"Liebendörfer","first_name":"M."},{"last_name":"Lawson","full_name":"Lawson, D.","first_name":"D."},{"full_name":"Hodds, M.","last_name":"Hodds","first_name":"M."}],"date_created":"2024-03-25T10:02:09Z","status":"public","publication":"International Journal of Mathematical Education in Science and Technology","type":"journal_article","keyword":["Applied Mathematics","Education","Mathematics (miscellaneous)"],"language":[{"iso":"eng"}],"_id":"52806","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"user_id":"30933"},{"intvolume":"         1","page":"407–410","citation":{"chicago":"Biehler, Rolf, Dominik Guntermann, Michael Liebendörfer, Sandra Krämer, and Sarah Schlüter. “Fachdidaktisches Design von Begründungsvideos Im Projekt StudiVEMINTvideos.” In <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfur, 1:407–410. Münster: WTM, 2023. <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>.","ieee":"R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, and S. Schlüter, “Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos,” in <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, vol. 1, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 407–410.","ama":"Biehler R, Guntermann D, Liebendörfer M, Krämer S, Schlüter S. Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos. In: Goethe-Universität Frankfur I-P, ed. <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>. Vol 1. WTM; 2023:407–410. doi:<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>","bibtex":"@inbook{Biehler_Guntermann_Liebendörfer_Krämer_Schlüter_2023, place={Münster}, title={Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos}, volume={1}, DOI={<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Biehler, Rolf and Guntermann, Dominik and Liebendörfer, Michael and Krämer, Sandra and Schlüter, Sarah}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={407–410} }","short":"R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, S. Schlüter, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 407–410.","mla":"Biehler, Rolf, et al. “Fachdidaktisches Design von Begründungsvideos Im Projekt StudiVEMINTvideos.” <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 1, WTM, 2023, pp. 407–410, doi:<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>.","apa":"Biehler, R., Guntermann, D., Liebendörfer, M., Krämer, S., &#38; Schlüter, S. (2023). Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos. In I.-P. Goethe-Universität Frankfur (Ed.), <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i> (Vol. 1, pp. 407–410). WTM. <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>"},"year":"2023","place":"Münster","publication_identifier":{"isbn":["978-3-95987-208-9"]},"doi":"10.37626/GA9783959872089.0","title":"Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos","volume":1,"author":[{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"full_name":"Guntermann, Dominik","last_name":"Guntermann","first_name":"Dominik"},{"first_name":"Michael","full_name":"Liebendörfer, Michael","last_name":"Liebendörfer"},{"last_name":"Krämer","full_name":"Krämer, Sandra","first_name":"Sandra"},{"first_name":"Sarah","full_name":"Schlüter, Sarah","last_name":"Schlüter"}],"date_created":"2024-03-25T10:06:08Z","publisher":"WTM","date_updated":"2024-03-25T10:09:41Z","status":"public","editor":[{"last_name":"Goethe-Universität Frankfur","full_name":"Goethe-Universität Frankfur, IDMI-Primar","first_name":"IDMI-Primar"}],"publication":"Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","type":"book_chapter","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"user_id":"30933","_id":"52811"},{"_id":"52810","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"user_id":"30933","editor":[{"last_name":"Härterich","full_name":"Härterich, Jörg","first_name":"Jörg"},{"first_name":"Michael","full_name":"Kallweit, Michael","last_name":"Kallweit"},{"last_name":"Rolka","full_name":"Rolka, Katrin","first_name":"Katrin"},{"first_name":"Thomas","last_name":"Skill","full_name":"Skill, Thomas"}],"status":"public","publication":"Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum","type":"book_chapter","title":"Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge","date_updated":"2024-03-25T10:09:46Z","publisher":"WTM","author":[{"first_name":"Robin","last_name":"Göller","full_name":"Göller, Robin"},{"full_name":"Gildehaus, Lara","last_name":"Gildehaus","first_name":"Lara"},{"last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","first_name":"Michael"},{"last_name":"Besser","full_name":"Besser, Michael","first_name":"Michael"}],"date_created":"2024-03-25T10:05:57Z","place":"Münster","year":"2023","page":"66–80","citation":{"apa":"Göller, R., Gildehaus, L., Liebendörfer, M., &#38; Besser, M. (2023). Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge. In J. Härterich, M. Kallweit, K. Rolka, &#38; T. Skill (Eds.), <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum</i> (pp. 66–80). WTM.","mla":"Göller, Robin, et al. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” <i>Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum</i>, edited by Jörg Härterich et al., WTM, 2023, pp. 66–80.","short":"R. Göller, L. Gildehaus, M. Liebendörfer, M. Besser, in: J. Härterich, M. Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, WTM, Münster, 2023, pp. 66–80.","bibtex":"@inbook{Göller_Gildehaus_Liebendörfer_Besser_2023, place={Münster}, title={Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum}, publisher={WTM}, author={Göller, Robin and Gildehaus, Lara and Liebendörfer, Michael and Besser, Michael}, editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={66–80} }","ieee":"R. Göller, L. Gildehaus, M. Liebendörfer, and M. Besser, “Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge,” in <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum</i>, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster: WTM, 2023, pp. 66–80.","chicago":"Göller, Robin, Lara Gildehaus, Michael Liebendörfer, and Michael Besser. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” In <i>Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum</i>, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka, and Thomas Skill, 66–80. Münster: WTM, 2023.","ama":"Göller R, Gildehaus L, Liebendörfer M, Besser M. Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. <i>Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum</i>. WTM; 2023:66–80."},"publication_identifier":{"isbn":["978-3-95987-264-5"]}},{"editor":[{"first_name":"Jörg","last_name":"Härterich","full_name":"Härterich, Jörg"},{"first_name":"Michael","last_name":"Kallweit","full_name":"Kallweit, Michael"},{"full_name":"Rolka, Katrin","last_name":"Rolka","first_name":"Katrin"},{"first_name":"Thomas","full_name":"Skill, Thomas","last_name":"Skill"}],"status":"public","type":"book_chapter","publication":"Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum","_id":"52809","user_id":"30933","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"place":"Münster","year":"2023","citation":{"apa":"Kempen, L., &#38; Liebendörfer, M. (2023). Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie. In J. Härterich, M. Kallweit, K. Rolka, &#38; T. Skill (Eds.), <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum</i> (pp. 91–106). WTM.","short":"L. Kempen, M. Liebendörfer, in: J. Härterich, M. Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, WTM, Münster, 2023, pp. 91–106.","mla":"Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden Der Mathematik Während Der Corona-Pandemie.” <i>Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum</i>, edited by Jörg Härterich et al., WTM, 2023, pp. 91–106.","bibtex":"@inbook{Kempen_Liebendörfer_2023, place={Münster}, title={Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum}, publisher={WTM}, author={Kempen, Leander and Liebendörfer, Michael}, editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={91–106} }","chicago":"Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden Der Mathematik Während Der Corona-Pandemie.” In <i>Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum</i>, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka, and Thomas Skill, 91–106. Münster: WTM, 2023.","ieee":"L. Kempen and M. Liebendörfer, “Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie,” in <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum</i>, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster: WTM, 2023, pp. 91–106.","ama":"Kempen L, Liebendörfer M. Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. <i>Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum</i>. WTM; 2023:91–106."},"page":"91–106","publication_identifier":{"isbn":["978-3-95987-264-5"]},"title":"Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie","publisher":"WTM","date_updated":"2024-03-25T10:09:51Z","date_created":"2024-03-25T10:05:42Z","author":[{"first_name":"Leander","full_name":"Kempen, Leander","last_name":"Kempen"},{"last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","first_name":"Michael"}]},{"publication":"Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","type":"book_chapter","status":"public","editor":[{"first_name":"IDMI-Primar","last_name":"Goethe-Universität Frankfur","full_name":"Goethe-Universität Frankfur, IDMI-Primar"}],"department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"user_id":"30933","_id":"52813","publication_identifier":{"isbn":["978-3-95987-208-9"]},"intvolume":"         2","page":"1177–1180","citation":{"short":"S. Schlüter, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 1177–1180.","mla":"Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 1177–1180, doi:<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>.","bibtex":"@inbook{Schlüter_Liebendörfer_2023, place={Münster}, title={Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen}, volume={2}, DOI={<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Schlüter, Sarah and Liebendörfer, Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={1177–1180} }","apa":"Schlüter, S., &#38; Liebendörfer, M. (2023). Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In I.-P. Goethe-Universität Frankfur (Ed.), <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i> (Vol. 2, pp. 1177–1180). WTM. <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>","chicago":"Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” In <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfur, 2:1177–1180. Münster: WTM, 2023. <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>.","ieee":"S. Schlüter and M. Liebendörfer, “Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen,” in <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 1177–1180.","ama":"Schlüter S, Liebendörfer M. Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In: Goethe-Universität Frankfur I-P, ed. <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>. Vol 2. WTM; 2023:1177–1180. doi:<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>"},"place":"Münster","year":"2023","volume":2,"author":[{"first_name":"Sarah","full_name":"Schlüter, Sarah","last_name":"Schlüter"},{"full_name":"Liebendörfer, Michael","last_name":"Liebendörfer","first_name":"Michael"}],"date_created":"2024-03-25T10:06:24Z","date_updated":"2024-03-25T10:09:27Z","publisher":"WTM","doi":"10.37626/GA9783959872089.0","title":"Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen"},{"editor":[{"last_name":"Goethe-Universität Frankfur","full_name":"Goethe-Universität Frankfur, IDMI-Primar","first_name":"IDMI-Primar"}],"status":"public","publication":"Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","type":"book_chapter","_id":"52812","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"user_id":"30933","year":"2023","place":"Münster","intvolume":"         2","page":"949–952","citation":{"apa":"Krämer, S., &#38; Liebendörfer, M. (2023). Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben. In I.-P. Goethe-Universität Frankfur (Ed.), <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i> (Vol. 2, pp. 949–952). WTM. <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>","mla":"Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität Durch Lernvideos Mit Interaktiven Aufgaben.” <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 949–952, doi:<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>.","short":"S. Krämer, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 949–952.","bibtex":"@inbook{Krämer_Liebendörfer_2023, place={Münster}, title={Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben}, volume={2}, DOI={<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Krämer, Sandra and Liebendörfer, Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={949–952} }","ama":"Krämer S, Liebendörfer M. Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben. In: Goethe-Universität Frankfur I-P, ed. <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>. Vol 2. WTM; 2023:949–952. doi:<a href=\"https://doi.org/10.37626/GA9783959872089.0\">10.37626/GA9783959872089.0</a>","chicago":"Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität Durch Lernvideos Mit Interaktiven Aufgaben.” In <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität Frankfur, 2:949–952. Münster: WTM, 2023. <a href=\"https://doi.org/10.37626/GA9783959872089.0\">https://doi.org/10.37626/GA9783959872089.0</a>.","ieee":"S. Krämer and M. Liebendörfer, “Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben,” in <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 949–952."},"publication_identifier":{"isbn":["978-3-95987-208-9"]},"title":"Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben","doi":"10.37626/GA9783959872089.0","date_updated":"2024-03-25T10:09:35Z","publisher":"WTM","volume":2,"author":[{"last_name":"Krämer","full_name":"Krämer, Sandra","first_name":"Sandra"},{"full_name":"Liebendörfer, Michael","last_name":"Liebendörfer","first_name":"Michael"}],"date_created":"2024-03-25T10:06:16Z"},{"abstract":[{"lang":"eng","text":"Many preservice mathematics teachers lose their motivation during their first year at university. This phenomenon has been repeatedly described in recent years but is not yet fully under­stood. Since motivation may relate to different objects such as mathematics or teaching, we aim to qualitatively reconstruct different facets of the central motivational constructs of Situated-Expectancy-Value theory (intrinsic value, attainment value, utility value, cost, and expectancy of success) for preservice mathematics teachers. The analysis of longitudinal group interviews of 14 pre­service higher-secondary mathematic teachers from a German university revealed different objects of motivation (e.g., teaching mathematics, scientific mathematics, procedural mathematics, or proof-based mathematics) in preservice teachers' values and expectancy of success. Furthermore, relations between those values and expectancy of success were identified that played a significant role in preservice teachers’ motivational development over their first semester (e.g., relations of attain­ment value for scientific mathematics and psychological cost). Theoretical and practical implications towards a teaching-specific conceptualization of expectancy of success and values and value interventions are being discussed."}],"status":"public","type":"journal_article","language":[{"iso":"en"}],"_id":"52807","department":[{"_id":"10"},{"_id":"625"},{"_id":"34"},{"_id":"97"},{"_id":"98"}],"user_id":"30933","year":"2023","citation":{"ama":"Preservice teachers’ mathematics-related values and expectancy in the transition from school to university. Published online 2023. doi:<a href=\"https://doi.org/10.48489/QUADRANTE.31191\">10.48489/QUADRANTE.31191</a>","ieee":"“Preservice teachers’ mathematics-related values and expectancy in the transition from school to university,” 2023, doi: <a href=\"https://doi.org/10.48489/QUADRANTE.31191\">10.48489/QUADRANTE.31191</a>.","chicago":"“Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition from School to University,” 2023. <a href=\"https://doi.org/10.48489/QUADRANTE.31191\">https://doi.org/10.48489/QUADRANTE.31191</a>.","apa":"<i>Preservice teachers’ mathematics-related values and expectancy in the transition from school to university</i>. (2023). <a href=\"https://doi.org/10.48489/QUADRANTE.31191\">https://doi.org/10.48489/QUADRANTE.31191</a>","mla":"<i>Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition from School to University</i>. 2023, doi:<a href=\"https://doi.org/10.48489/QUADRANTE.31191\">10.48489/QUADRANTE.31191</a>.","bibtex":"@article{Preservice teachers’ mathematics-related values and expectancy in the transition from school to university_2023, DOI={<a href=\"https://doi.org/10.48489/QUADRANTE.31191\">10.48489/QUADRANTE.31191</a>}, year={2023} }","short":"(2023)."},"title":"Preservice teachers’ mathematics-related values and expectancy in the transition from school to university","doi":"10.48489/QUADRANTE.31191","date_updated":"2024-03-25T10:10:11Z","date_created":"2024-03-25T10:02:25Z"},{"title":"Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints","doi":"10.1093/imanum/drad037","publisher":"Oxford University Press (OUP)","date_updated":"2024-04-03T09:15:27Z","author":[{"first_name":"Sören","full_name":"Bartels, Sören","last_name":"Bartels"},{"id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs"},{"last_name":"Wang","full_name":"Wang, Zhangxian","first_name":"Zhangxian"}],"date_created":"2023-07-10T12:32:10Z","year":"2023","citation":{"chicago":"Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” <i>IMA Journal of Numerical Analysis</i>, 2023. <a href=\"https://doi.org/10.1093/imanum/drad037\">https://doi.org/10.1093/imanum/drad037</a>.","ieee":"S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints,” <i>IMA Journal of Numerical Analysis</i>, 2023, doi: <a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>.","ama":"Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. <i>IMA Journal of Numerical Analysis</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>","short":"S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).","mla":"Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” <i>IMA Journal of Numerical Analysis</i>, Oxford University Press (OUP), 2023, doi:<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>.","bibtex":"@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints}, DOI={<a href=\"https://doi.org/10.1093/imanum/drad037\">10.1093/imanum/drad037</a>}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023} }","apa":"Bartels, S., Kovács, B., &#38; Wang, Z. (2023). Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/drad037\">https://doi.org/10.1093/imanum/drad037</a>"},"publication_identifier":{"issn":["0272-4979","1464-3642"]},"publication_status":"published","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"_id":"45971","department":[{"_id":"841"}],"user_id":"100441","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>An error estimate for a canonical discretization of the harmonic map heat flow into spheres is derived. The numerical scheme uses standard finite elements with a nodal treatment of linearized unit-length constraints. The analysis is based on elementary approximation results and only uses the discrete weak formulation.</jats:p>"}],"status":"public","publication":"IMA Journal of Numerical Analysis","type":"journal_article"},{"year":"2023","citation":{"ama":"Contri A, Kovács B, Massing A. Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. <i>arXiv</i>. Published online 2023. doi:<a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">10.48550/ARXIV.2312.05511</a>","ieee":"A. Contri, B. Kovács, and A. Massing, “Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates,” <i>arXiv</i>, 2023, doi: <a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">10.48550/ARXIV.2312.05511</a>.","chicago":"Contri, Alessandro, Balázs Kovács, and André Massing. “Error Analysis of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates.” <i>ArXiv</i>, 2023. <a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">https://doi.org/10.48550/ARXIV.2312.05511</a>.","apa":"Contri, A., Kovács, B., &#38; Massing, A. (2023). Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. <i>ArXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">https://doi.org/10.48550/ARXIV.2312.05511</a>","mla":"Contri, Alessandro, et al. “Error Analysis of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates.” <i>ArXiv</i>, 2023, doi:<a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">10.48550/ARXIV.2312.05511</a>.","bibtex":"@article{Contri_Kovács_Massing_2023, title={Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2312.05511\">10.48550/ARXIV.2312.05511</a>}, journal={arXiv}, author={Contri, Alessandro and Kovács, Balázs and Massing, André}, year={2023} }","short":"A. Contri, B. Kovács, A. Massing, ArXiv (2023)."},"title":"Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates","doi":"10.48550/ARXIV.2312.05511","date_updated":"2024-04-03T09:12:47Z","date_created":"2024-04-03T09:08:38Z","author":[{"first_name":"Alessandro","last_name":"Contri","full_name":"Contri, Alessandro"},{"last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs","id":"100441","first_name":"Balázs"},{"last_name":"Massing","full_name":"Massing, André","first_name":"André"}],"abstract":[{"text":"We present a new stability and error analysis of fully discrete approximation schemes for the transient Stokes equation. For the spatial discretization, we consider a wide class of Galerkin finite element methods which includes both inf-sup stable spaces and symmetric pressure stabilized formulations. We extend the results from Burman and Fernández [\\textit{SIAM J. Numer. Anal.}, 47 (2009), pp. 409-439] and provide a unified theoretical analysis of backward difference formulae (BDF methods) of order 1 to 6. The main novelty of our approach lies in the use of Dahlquist's G-stability concept together with multiplier techniques introduced by Nevannlina-Odeh and recently by Akrivis et al. [\\textit{SIAM J. Numer. Anal.}, 59 (2021), pp. 2449-2472] to derive optimal stability and error estimates for both the velocity and the pressure. When combined with a method dependent Ritz projection for the initial data, unconditional stability can be shown while for arbitrary interpolation, pressure stability is subordinate to the fulfillment of a mild inverse CFL-type condition between space and time discretizations.","lang":"eng"}],"status":"public","type":"journal_article","publication":"arXiv","language":[{"iso":"eng"}],"_id":"53140","user_id":"100441","department":[{"_id":"841"}]},{"status":"public","type":"journal_article","publication":"IMA Journal of Mathematical Control and Information,","language":[{"iso":"eng"}],"user_id":"77457","department":[{"_id":"618"}],"_id":"53142","citation":{"apa":"Berger, T., &#38; Lanza, L. (2023). Funnel control of linear systems with arbitrary relative degree under output measurement losses. <i>IMA Journal of Mathematical Control and Information,</i> <i>40</i>(4), 691–713. <a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">https://doi.org/doi: 10.1093/imamci/dnad029</a>","short":"T. Berger, L. Lanza, IMA Journal of Mathematical Control and Information, 40 (2023) 691–713.","bibtex":"@article{Berger_Lanza_2023, title={Funnel control of linear systems with arbitrary relative degree under output measurement losses}, volume={40}, DOI={<a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">doi: 10.1093/imamci/dnad029</a>}, number={4}, journal={IMA Journal of Mathematical Control and Information,}, author={Berger, Thomas and Lanza, Lukas}, year={2023}, pages={691–713} }","mla":"Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary Relative Degree under Output Measurement Losses.” <i>IMA Journal of Mathematical Control and Information,</i> vol. 40, no. 4, 2023, pp. 691–713, doi:<a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">doi: 10.1093/imamci/dnad029</a>.","ama":"Berger T, Lanza L. Funnel control of linear systems with arbitrary relative degree under output measurement losses. <i>IMA Journal of Mathematical Control and Information,</i>. 2023;40(4):691-713. doi:<a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">doi: 10.1093/imamci/dnad029</a>","ieee":"T. Berger and L. Lanza, “Funnel control of linear systems with arbitrary relative degree under output measurement losses,” <i>IMA Journal of Mathematical Control and Information,</i> vol. 40, no. 4, pp. 691–713, 2023, doi: <a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">doi: 10.1093/imamci/dnad029</a>.","chicago":"Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary Relative Degree under Output Measurement Losses.” <i>IMA Journal of Mathematical Control and Information,</i> 40, no. 4 (2023): 691–713. <a href=\"https://doi.org/doi: 10.1093/imamci/dnad029\">https://doi.org/doi: 10.1093/imamci/dnad029</a>."},"intvolume":"        40","page":"691-713","year":"2023","issue":"4","doi":"doi: 10.1093/imamci/dnad029","title":"Funnel control of linear systems with arbitrary relative degree under output measurement losses","date_created":"2024-04-03T09:37:59Z","author":[{"full_name":"Berger, Thomas","id":"77457","last_name":"Berger","first_name":"Thomas"},{"last_name":"Lanza","full_name":"Lanza, Lukas","first_name":"Lukas"}],"volume":40,"date_updated":"2024-04-05T05:50:29Z"},{"year":"2023","page":"Article 111204","intvolume":"       156","citation":{"short":"J.G. Lee, T. Berger, S. Trenn, H. Shim, Automatica 156 (2023) Article 111204.","mla":"Lee, J. G., et al. “Edge-Wise Funnel Output Synchronization of Heterogeneous Agents with Relative Degree One.” <i>Automatica</i>, vol. 156, 2023, p. Article 111204, doi:<a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">doi: 10.1016/j.automatica.2023.111204 (open access)</a>.","bibtex":"@article{Lee_Berger_Trenn_Shim_2023, title={Edge-wise funnel output synchronization of heterogeneous agents with relative degree one}, volume={156}, DOI={<a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">doi: 10.1016/j.automatica.2023.111204 (open access)</a>}, journal={Automatica}, author={Lee, J. G. and Berger, Thomas and Trenn, S. and Shim, H.}, year={2023}, pages={Article 111204} }","apa":"Lee, J. G., Berger, T., Trenn, S., &#38; Shim, H. (2023). Edge-wise funnel output synchronization of heterogeneous agents with relative degree one. <i>Automatica</i>, <i>156</i>, Article 111204. <a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)</a>","chicago":"Lee, J. G., Thomas Berger, S. Trenn, and H. Shim. “Edge-Wise Funnel Output Synchronization of Heterogeneous Agents with Relative Degree One.” <i>Automatica</i> 156 (2023): Article 111204. <a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)</a>.","ieee":"J. G. Lee, T. Berger, S. Trenn, and H. Shim, “Edge-wise funnel output synchronization of heterogeneous agents with relative degree one,” <i>Automatica</i>, vol. 156, p. Article 111204, 2023, doi: <a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">doi: 10.1016/j.automatica.2023.111204 (open access)</a>.","ama":"Lee JG, Berger T, Trenn S, Shim H. Edge-wise funnel output synchronization of heterogeneous agents with relative degree one. <i>Automatica</i>. 2023;156:Article 111204. doi:<a href=\"https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)\">doi: 10.1016/j.automatica.2023.111204 (open access)</a>"},"date_updated":"2024-04-05T05:52:28Z","volume":156,"author":[{"first_name":"J. G.","full_name":"Lee, J. G.","last_name":"Lee"},{"first_name":"Thomas","full_name":"Berger, Thomas","id":"77457","last_name":"Berger"},{"first_name":"S.","last_name":"Trenn","full_name":"Trenn, S."},{"first_name":"H.","full_name":"Shim, H.","last_name":"Shim"}],"date_created":"2024-04-03T09:56:35Z","title":"Edge-wise funnel output synchronization of heterogeneous agents with relative degree one","doi":"doi: 10.1016/j.automatica.2023.111204 (open access)","publication":"Automatica","type":"journal_article","status":"public","_id":"53143","department":[{"_id":"618"}],"user_id":"77457","language":[{"iso":"eng"}]},{"status":"public","type":"book","language":[{"iso":"eng"}],"_id":"51101","user_id":"578","department":[{"_id":"34"},{"_id":"10"},{"_id":"98"},{"_id":"360"}],"year":"2023","place":"Wiesbaden","citation":{"ama":"Werth G. <i>Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings</i>. Springer Fachmedien Wiesbaden; 2023. doi:<a href=\"https://doi.org/10.1007/978-3-658-42445-9\">10.1007/978-3-658-42445-9</a>","chicago":"Werth, Gerda. <i>Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2023. <a href=\"https://doi.org/10.1007/978-3-658-42445-9\">https://doi.org/10.1007/978-3-658-42445-9</a>.","ieee":"G. Werth, <i>Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2023.","apa":"Werth, G. (2023). <i>Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings</i>. Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/978-3-658-42445-9\">https://doi.org/10.1007/978-3-658-42445-9</a>","bibtex":"@book{Werth_2023, place={Wiesbaden}, title={Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-42445-9\">10.1007/978-3-658-42445-9</a>}, publisher={Springer Fachmedien Wiesbaden}, author={Werth, Gerda}, year={2023} }","mla":"Werth, Gerda. <i>Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings</i>. Springer Fachmedien Wiesbaden, 2023, doi:<a href=\"https://doi.org/10.1007/978-3-658-42445-9\">10.1007/978-3-658-42445-9</a>.","short":"G. Werth, Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings, Springer Fachmedien Wiesbaden, Wiesbaden, 2023."},"publication_status":"published","publication_identifier":{"isbn":["9783658424442","9783658424459"],"issn":["2661-8591","2661-8605"]},"title":"Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings","doi":"10.1007/978-3-658-42445-9","publisher":"Springer Fachmedien Wiesbaden","date_updated":"2024-04-09T11:07:16Z","author":[{"first_name":"Gerda","last_name":"Werth","id":"578","full_name":"Werth, Gerda"}],"date_created":"2024-01-31T13:08:37Z"},{"title":"Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe","date_updated":"2024-04-09T09:19:05Z","publisher":"Friedrich","volume":241,"author":[{"first_name":"Gerda","full_name":"Werth, Gerda","id":"578","last_name":"Werth"}],"date_created":"2024-01-31T13:15:50Z","year":"2023","intvolume":"       241","page":"15-19","citation":{"apa":"Werth, G. (2023). Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe. <i>mathematik lehren</i>, <i>241</i>, 15–19.","short":"G. Werth, mathematik lehren 241 (2023) 15–19.","mla":"Werth, Gerda. “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe.” <i>mathematik lehren</i>, vol. 241, Friedrich, 2023, pp. 15–19.","bibtex":"@article{Werth_2023, title={Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe}, volume={241}, journal={mathematik lehren}, publisher={Friedrich}, author={Werth, Gerda}, year={2023}, pages={15–19} }","ama":"Werth G. Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe. <i>mathematik lehren</i>. 2023;241:15-19.","chicago":"Werth, Gerda. “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe.” <i>mathematik lehren</i> 241 (2023): 15–19.","ieee":"G. Werth, “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe,” <i>mathematik lehren</i>, vol. 241, pp. 15–19, 2023."},"publication_status":"published","language":[{"iso":"ger"}],"_id":"51103","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"360"}],"user_id":"578","status":"public","publication":"mathematik lehren","type":"journal_article"},{"title":"$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces","date_updated":"2024-04-10T13:48:17Z","date_created":"2024-04-10T13:45:59Z","author":[{"last_name":"Wolf","full_name":"Wolf, Lasse L.","first_name":"Lasse L."},{"full_name":"Zhang, Hong-Wei","last_name":"Zhang","first_name":"Hong-Wei"}],"year":"2023","citation":{"apa":"Wolf, L. L., &#38; Zhang, H.-W. (2023). $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. In <i>arXiv:2311.11770</i>.","bibtex":"@article{Wolf_Zhang_2023, title={$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces}, journal={arXiv:2311.11770}, author={Wolf, Lasse L. and Zhang, Hong-Wei}, year={2023} }","mla":"Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>, 2023.","short":"L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023).","ama":"Wolf LL, Zhang H-W. $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. <i>arXiv:231111770</i>. Published online 2023.","chicago":"Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>, 2023.","ieee":"L. L. Wolf and H.-W. Zhang, “$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces,” <i>arXiv:2311.11770</i>. 2023."},"language":[{"iso":"eng"}],"_id":"53404","external_id":{"arxiv":["2311.11770"]},"user_id":"45027","department":[{"_id":"10"},{"_id":"548"}],"abstract":[{"lang":"eng","text":"In this short note we observe, on locally symmetric spaces of higher rank, a\r\nconnection between the growth indicator function introduced by Quint and the\r\nmodified critical exponent of the Poincar\\'e series equipped with the\r\npolyhedral distance. As a consequence, we provide a different characterization\r\nof the bottom of the $L^2$-spectrum of the Laplace-Beltrami operator in terms\r\nof the growth indicator function. Moreover, we explore the relationship between\r\nthese three objects and the temperedness."}],"status":"public","type":"preprint","publication":"arXiv:2311.11770"}]